Question

hours dogs sleep the canadian press reported that dogs sleep on average 14 hours per day. a veterinarian studied a random sample of 20 dogs and found that they sleep on average 14.7 hours. the standard deviation of the population, which was 1.7 hours, was found from previous studies. at ( alpha = 0.01 ), can it be concluded that on average dogs sleep more than 14 hours per day? assume the variable is normally distributed. use the critical value method.
part: 0 / 5
part 1 of 5
(a) state the hypotheses and identify the claim with the correct hypothesis.
( h_{0} ):
( h_{1} ):
this hypothesis test is a test.

Explanation:

Step1: State the null hypothesis

The null hypothesis \(H_0\) is a statement of no difference. Here, it is \(\mu = 14\) (the average number of hours dogs sleep is 14).

Step2: State the alternative hypothesis

The claim is that dogs sleep more than 14 hours per day. So the alternative hypothesis \(H_1:\mu>14\).

Step3: Determine the type of test

Since the alternative hypothesis has a “\(>\)” sign, this is a right - tailed test.

Answer:

\(H_0:\mu = 14\), \(H_1:\mu>14\), right - tailed